For a superconducting material at a temperature T below the critical temperature TC, the critical field HC(T) depends on temperature according to the relationship
where HC(0) is the critical field at 0 K.
(a) Using the data in Table 18.7, calculate the critical magnetic fields for tin at 1.5 and 2.5 K.
(b) To what temperature must tin be cooled in a magnetic field of 20,000 A/m for it to be superconductive?
Table 18.7 Critical Temperatures and Magnetic Fluxes for Selected Superconducting Materials
Material | Critical Temperature TC (K) | Critical Magnetic Flux Density BC (tesla)a |
Elementsb | ||
Tungsten | 0.02 | 0.0001 |
Titanium | 0.40 | 0.0056 |
Aluminum | 1.18 | 0.0105 |
Tin | 3.72 | 0.0305 |
Mercury (α) | 4.15 | 0.0411 |
Compounds and Alloysb | ||
Nb–Ti alloy |
|
|
Nb–Zr alloy | 10.2 | 12 |
PbMo6S8 | 10.8 | 11 |
V3Ga | 14.0 | 45 |
Nb3Sn | 16.5 | 22 |
Nb3Al | 18.3 | 22 |
Nb3Ge | 18.9 | 32 |
Ceramic Compounds | ||
YBa2Cu3O7 | 92 | — |
Bi2Sr2Ca2Cu3O10 | 110 | — |
Tl2Ba2Ca2Cu3O10 | 125 | — |
HgBa2Ca2Cu2O8 | 153 | — |
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